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The Cayley transform of linear relations
Author(s):
Mercedes
Fernandez
Miranda;
Jean-Philippe
Labrousse
Journal:
Proc. Amer. Math. Soc.
133
(2005),
493-499.
MSC (2000):
Primary 47A05, 47A06
Posted:
August 20, 2004
MathSciNet review:
2093073
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Abstract:
This paper extends the definition of the Cayley transform defined for symmetric linear operators to any linear relation.
References:
-
- 1.
- R. ARENS, Operational calculus of linear relations, Pacific J. Math. 11, (1961), pp. 9-23. MR 23:A517
- 2.
- Z. BOULMAAROUF and J-Ph. LABROUSSE, The Cayley transform of linear relations, J. Egyptian Math. Soc. 2, (1994), pp. 53-65. MR 96a:47034
- 3.
- R. CROSS, Multivalued linear operators, Marcel Dekker, Inc., New York (1998). MR 99j:47003
- 4.
- Y. MEZROUI, Projection orthogonale sur le graphe d'une relation linéaire fermée, Trans. Amer. Math. Soc. 352(6), (2000), pp. 2789-2800. MR 2000j:47003
- 5.
- M. Z. NASHED (ed.), General inverses and applications, Academic Press, New York (1976). MR 56:9943
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Additional Information:
Mercedes
Fernandez
Miranda
Affiliation:
Departamento de Matemáticas, Universidad de Antofagasta, Angamos 601, Antofagasta, Chile
Email:
mfernandez@uantof.cl
Jean-Philippe
Labrousse
Affiliation:
Université de Nice-Sophia Antipolis, Laboratoire J. A. Dieudonné, UMR du CNRS Nô 6621, Parc Valrose, Nice Cedex 02, France
Email:
labro@math.unice.fr
DOI:
10.1090/S0002-9939-04-07551-3
PII:
S 0002-9939(04)07551-3
Keywords:
Linear relation,
operator,
Cayley transform
Received by editor(s):
March 5, 2003
Received by editor(s) in revised form:
October 15, 2003
Posted:
August 20, 2004
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
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